GCF and LCM Calculator Logo

What is the Least Common Multiple of 17472 and 17492?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 17472 and 17492 is 76405056.

LCM(17472,17492) = 76405056

LCM Calculator and
and

Least Common Multiple of 17472 and 17492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17472 and 17492, than apply into the LCM equation.

GCF(17472,17492) = 4
LCM(17472,17492) = ( 17472 × 17492) / 4
LCM(17472,17492) = 305620224 / 4
LCM(17472,17492) = 76405056

Least Common Multiple (LCM) of 17472 and 17492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17472 and 17492. First we will calculate the prime factors of 17472 and 17492.

Prime Factorization of 17472

Prime factors of 17472 are 2, 3, 7, 13. Prime factorization of 17472 in exponential form is:

17472 = 26 × 31 × 71 × 131

Prime Factorization of 17492

Prime factors of 17492 are 2, 4373. Prime factorization of 17492 in exponential form is:

17492 = 22 × 43731

Now multiplying the highest exponent prime factors to calculate the LCM of 17472 and 17492.

LCM(17472,17492) = 26 × 31 × 71 × 131 × 43731
LCM(17472,17492) = 76405056